M
Michael T. Rosenstein
Researcher at Boston University
Publications - 6
Citations - 3367
Michael T. Rosenstein is an academic researcher from Boston University. The author has contributed to research in topics: Attractor & Correlation dimension. The author has an hindex of 4, co-authored 6 publications receiving 3060 citations.
Papers
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Journal ArticleDOI
A practical method for calculating largest Lyapunov exponents from small data sets
TL;DR: A new method for calculating the largest Lyapunov exponent from an experimental time series is presented that is fast, easy to implement, and robust to changes in the following quantities: embedding dimension, size of data set, reconstruction delay, and noise level.
Journal ArticleDOI
Reconstruction expansion as a geometry-based framework for choosing proper delay times
TL;DR: In this article, the authors developed a new, computationally efficient approach to choosing τ that quantifies reconstruction expansion from the identity line of the embedding space, and showed that reconstruction expansion is related to the concept of reconstruction signal strength and that increased expansion corresponds to diminished effects of measurement error.
Journal ArticleDOI
Chaos and graphicsVisualizing the effects of filtering chaotic signals
TL;DR: It is shown that lowpass filters can induce a nonuniform convergence to a dynamical system's mean state-space location with chaotic attractors, which distorts the attractor's normal geometrical configuration such that the observed system acquires increased dimensionality.
Journal ArticleDOI
Visualizing the effects of filtering chaotic signals
TL;DR: In this article, it is shown that low-pass filters can induce a nonuniform convergence to a dynamical system's mean state-space location, and that this convergence distorts the attractor's normal geometrical configuration such that the observed system acquires increased dimensionality.
Proceedings ArticleDOI
A Nonlinear Dynamical Analysis Of The Human Postural Control System
TL;DR: In this paper, two mathematical techniques from dynamical systems theory -the reconstruction of phase portraits and correlation dimension calculations -were used to analyze and interpret centerof-pressure trajectories during quiet standing.